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3144613120 = 28511223339
BaseRepresentation
bin1011101101101110…
…1111110100000000
322010011010220020121
42323123233310000
522420010104440
61240011550024
7140632525165
oct27333576400
98104126217
103144613120
111374063420
1273915b314
133b164852c
1421b8cc06c
1513610c34a
hexbb6efd00

3144613120 has 72 divisors (see below), whose sum is σ = 8217125280. Its totient is φ = 1143490560.

The previous prime is 3144613079. The next prime is 3144613127. The reversal of 3144613120 is 213164413.

It is a super-2 number, since 2×31446131202 = 19777183348952268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144613127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97590 + ... + 125749.

It is an arithmetic number, because the mean of its divisors is an integer number (114126740).

Almost surely, 23144613120 is an apocalyptic number.

It is an amenable number.

3144613120 is an abundant number, since it is smaller than the sum of its proper divisors (5072512160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3144613120 is a wasteful number, since it uses less digits than its factorization.

3144613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223371 (or 223357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3144613120 is about 56076.8501255197. The cubic root of 3144613120 is about 1465.0611117328.

Adding to 3144613120 its reverse (213164413), we get a palindrome (3357777533).

The spelling of 3144613120 in words is "three billion, one hundred forty-four million, six hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 223339 446678 893356 1116695 1786712 2233390 2456729 3573424 4466780 4913458 7146848 8933560 9826916 12283645 14293696 17867120 19653832 24567290 28587392 35734240 39307664 49134580 57174784 71468480 78615328 98269160 142936960 157230656 196538320 285873920 314461312 393076640 628922624 786153280 1572306560 3144613120